Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations
Computer Aided Geometric Design, 2010 17 pages, amsart latex, revised version accepted for publication in the Journal Computer Aided Geometric Design.
Teresa Cortadellas Benítez +1 more
openaire +2 more sources
Buchsbaumness in Rees Algebras Associated to Ideals of Minimal Multiplicity
Journal of Algebra, 1999 Let \(I\) be an \({\mathfrak m}\)-primary ideal in a Cohen-Macaulay local ring \((A,{\mathfrak m})\). In this article, the author studies the Buchsbaum property of the Rees algebra \(R(I)= A[It]\) of \(I\) and the associated graded ring \(G(I)= \bigoplus I^n/I^{n+1}\) of \(I\). Namely: Theorem 1.1. Let \(Q=(a_1,a_2, \dots, a_d)\) be a minimal reduction
openaire +1 more source
Finite Generation of Algebras Associated to Powers of Ideals
, 2008 17 pages.
Cutkosky, Steven Dale +2 more
openaire +2 more sources
Determinantal varieties, monomial semigroups, and algebras associated with ideals [PDF]
Proceedings of the American Mathematical Society, 1973 This paper is concerned with the Rees and symmetric algebras of powers of ideals generated by A A -sequences.
openaire +1 more source
On the Gorenstein Property of the Associated Graded Ring and the Rees Algebra of an Ideal
Journal of Algebra, 1993 L'A. généralise les principaux resultats obtenus dans ses articles précédents [J. Pure Appl. Algebra 69, No. 2, 185-191 (1990; Zbl 0723.13005) and J. Algebra 141, No. 1, 143-157 (1991; Zbl 0736.13018)] sur la propriété de Gorenstein pour l'anneau gradué associé à un idéal et de module gradué associé au module canonique.
openaire +1 more source
On operator algebras associated with monomial ideals in noncommuting variables
, 2015 We study operator algebras arising from monomial ideals in the ring of polynomials in noncommuting variables, through the apparatus of subproduct systems and C*-correspondences. We provide a full comparison amongst the related operator algebras. For our analysis we isolate a partially defined dynamical system, to which we refer as the {\em quantised ...
Kakariadis, Evgenios T. A. +1 more
openaire +2 more sources
Power-associative algebras in which every subalgebra is an ideal [PDF]
Pacific Journal of Mathematics, 1967 openaire +3 more sources
An introduction to the theory of ideals in linear associative algebras [PDF]
Transactions of the American Mathematical Society, 1929 openaire +1 more source
Associated prime ideals and Hopf algebras
Journal of Pure and Applied Algebra, 1973 openaire +1 more source
On ideals in some Banach algebras associated with a foundation semigroup [PDF]
International Mathematical Forum, 2006 openaire +1 more source